Question

If $p\Rightarrow (q\vee r)$ is false, then the truth values of p,q,r are respectively

• A. T,F,F
• B. F,F,F
• C. F,T,T
• D. T,T,T

Answer 1

The correct option is A

T,F,F

$p\Rightarrow q$ is false only if p is true and q is false.
So, $p\Rightarrow (q\vee r)$ is false only if p is true and $(q\vee r)$ is false.
$(q\vee r)$ is false only if q and r are false.
Hence, the truth values of p,q,r are respectively T,F,F